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Finding the Fourth Proportional to 894,635.40, 1,340,574.86 and 414,567

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Solution

The fourth proportional to 894,635.40, 1,340,574.86 and 414,567 is: 621,211.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,635.40 : 1,340,574.86 = 414,567 : x
  2. Step 2: Convert to fraction form
    894,635.40/1,340,574.86 = 414,567/x
  3. Step 3: Cross multiply
    894,635.40x = 1,340,574.86 × 414,567
  4. Step 4: Simplify right side
    894,635.40x = 555,758,097,985.62
  5. Step 5: Solve for x
    x = 555,758,097,985.62/894,635.40
  6. Step 6: Final answer
    x = 621,211.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.